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Finding the Third Proportional to 129,970 and 270,152

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Solution

The third proportional to 129,970 and 270,152 is: 561,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,970 : 270,152 = 270,152 : x
  2. Step 2: Convert to fraction form
    129,970/270,152 = 270,152/x
  3. Step 3: Cross multiply
    129,970x = 270,152 × 270,152
  4. Step 4: Simplify right side
    129,970x = 72,982,103,104
  5. Step 5: Solve for x
    x = 72,982,103,104/129,970
  6. Step 6: Final answer
    x = 561,530.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.